What is the Least Common Multiple of 18866 and 18877?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 18866 and 18877 is 356133482.
LCM(18866,18877) = 356133482
Least Common Multiple of 18866 and 18877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18866 and 18877, than apply into the LCM equation.
GCF(18866,18877) = 1
LCM(18866,18877) = ( 18866 × 18877) / 1
LCM(18866,18877) = 356133482 / 1
LCM(18866,18877) = 356133482
Least Common Multiple (LCM) of 18866 and 18877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18866 and 18877. First we will calculate the prime factors of 18866 and 18877.
Prime Factorization of 18866
Prime factors of 18866 are 2, 9433. Prime factorization of 18866 in exponential form is:
18866 = 21 × 94331
Prime Factorization of 18877
Prime factors of 18877 are 43, 439. Prime factorization of 18877 in exponential form is:
18877 = 431 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 18866 and 18877.
LCM(18866,18877) = 21 × 94331 × 431 × 4391
LCM(18866,18877) = 356133482
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